Add hyperbolic math functions

See #61
This commit is contained in:
Justine Tunney 2021-02-28 01:06:00 -08:00
parent c42dbe0e9e
commit 839e2f4cfb
24 changed files with 807 additions and 0 deletions

26
libc/tinymath/acosh.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns inverse hyperbolic cosine of 𝑥.
*/
double acosh(double x) {
return log(x + sqrt(x * x - 1));
}

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libc/tinymath/acoshf.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns inverse hyperbolic cosine of 𝑥.
*/
float acoshf(float x) {
return logf(x + sqrtf(x * x - 1));
}

26
libc/tinymath/acoshl.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns inverse hyperbolic cosine of 𝑥.
*/
long double acoshl(long double x) {
return logl(x + sqrtl(x * x - 1));
}

26
libc/tinymath/asinh.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns inverse hyperbolic sine of 𝑥.
*/
double asinh(double x) {
return copysign(log(fabs(x) + sqrt(x * x + 1)), x);
}

26
libc/tinymath/asinhf.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns inverse hyperbolic sine of 𝑥.
*/
float asinhf(float x) {
return copysignf(logf(fabsf(x) + sqrtf(x * x + 1)), x);
}

26
libc/tinymath/asinhl.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns inverse hyperbolic sine of 𝑥.
*/
long double asinhl(long double x) {
return copysignl(logl(fabsl(x) + sqrtl(x * x + 1)), x);
}

26
libc/tinymath/atanh.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns inverse hyperbolic tangent of 𝑥.
*/
double atanh(double x) {
return log((1 + x) / (1 - x)) / 2;
}

26
libc/tinymath/atanhf.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns inverse hyperbolic tangent of 𝑥.
*/
float atanhf(float x) {
return logf((1 + x) / (1 - x)) / 2;
}

26
libc/tinymath/atanhl.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns inverse hyperbolic tangent of 𝑥.
*/
long double atanhl(long double x) {
return logl((1 + x) / (1 - x)) / 2;
}

26
libc/tinymath/cosh.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns hyperbolic cosine of 𝑥.
*/
double cosh(double x) {
return (exp(x) + exp(-x)) / 2;
}

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libc/tinymath/coshf.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns hyperbolic cosine of 𝑥.
*/
float coshf(float x) {
return (expf(x) + expf(-x)) / 2;
}

26
libc/tinymath/coshl.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns hyperbolic cosine of 𝑥.
*/
long double coshl(long double x) {
return (expl(x) + expl(-x)) / 2;
}

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libc/tinymath/sinh.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns hyperbolic sine of 𝑥.
*/
double sinh(double x) {
return (exp(x) - exp(-x)) / 2;
}

26
libc/tinymath/sinhf.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns hyperbolic sine of 𝑥.
*/
float sinhf(float x) {
return (expf(x) - expf(-x)) / 2;
}

26
libc/tinymath/sinhl.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns hyperbolic sine of 𝑥.
*/
long double sinhl(long double x) {
return (expl(x) - expl(-x)) / 2;
}

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libc/tinymath/tanh.c Normal file
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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns hyperbolic tangent of 𝑥.
*/
double tanh(double x) {
if (isinf(x)) return copysign(1, x);
return sinh(x) / cosh(x);
}

27
libc/tinymath/tanhf.c Normal file
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@ -0,0 +1,27 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns hyperbolic tangent of 𝑥.
*/
float tanhf(float x) {
if (isinf(x)) return copysignf(1, x);
return sinhf(x) / coshf(x);
}

27
libc/tinymath/tanhl.c Normal file
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@ -0,0 +1,27 @@
/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
/**
* Returns hyperbolic tangent of 𝑥.
*/
long double tanhl(long double x) {
if (isinf(x)) return copysignl(1, x);
return sinhl(x) / coshl(x);
}

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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
#include "libc/runtime/gc.h"
#include "libc/testlib/testlib.h"
#include "libc/x/x.h"
#define acoshl(x) acoshl(VEIL("t", (long double)(x)))
#define acosh(x) acosh(VEIL("x", (double)(x)))
#define acoshf(x) acoshf(VEIL("x", (float)(x)))
TEST(acosh, test) {
EXPECT_STREQ(".962423650119207", gc(xdtoa(acosh(1.5))));
EXPECT_STREQ("0", gc(xdtoa(acosh(1))));
EXPECT_TRUE(isnan(acosh(NAN)));
EXPECT_TRUE(isnan(acosh(.5)));
EXPECT_TRUE(isnan(acosh(-.5)));
EXPECT_TRUE(isnan(acosh(-1.5)));
EXPECT_STREQ("INFINITY", gc(xdtoa(acosh(INFINITY))));
}
TEST(acoshf, test) {
EXPECT_STREQ(".962424", gc(xdtoaf(acoshf(1.5))));
EXPECT_STREQ("0", gc(xdtoaf(acoshf(1))));
EXPECT_TRUE(isnan(acoshf(NAN)));
EXPECT_TRUE(isnan(acoshf(.5)));
EXPECT_TRUE(isnan(acoshf(-.5)));
EXPECT_TRUE(isnan(acoshf(-1.5)));
EXPECT_STREQ("INFINITY", gc(xdtoaf(acoshf(INFINITY))));
}
TEST(acoshl, test) {
EXPECT_STREQ(".9624236501192069", gc(xdtoal(acoshl(1.5))));
EXPECT_STREQ("0", gc(xdtoal(acoshl(1))));
EXPECT_TRUE(isnan(acoshl(NAN)));
EXPECT_TRUE(isnan(acoshl(.5)));
EXPECT_TRUE(isnan(acoshl(-.5)));
EXPECT_TRUE(isnan(acoshl(-1.5)));
EXPECT_STREQ("INFINITY", gc(xdtoal(acoshl(INFINITY))));
}

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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
#include "libc/runtime/gc.h"
#include "libc/testlib/testlib.h"
#include "libc/x/x.h"
#define asinhl(x) asinhl(VEIL("t", (long double)(x)))
#define asinh(x) asinh(VEIL("x", (double)(x)))
#define asinhf(x) asinhf(VEIL("x", (float)(x)))
TEST(asinh, test) {
EXPECT_STREQ(".481211825059603", gc(xdtoa(asinh(+.5))));
EXPECT_STREQ("-.481211825059603", gc(xdtoa(asinh(-.5))));
EXPECT_STREQ("0", gc(xdtoa(asinh(0))));
EXPECT_STREQ("NAN", gc(xdtoa(asinh(NAN))));
EXPECT_STREQ("INFINITY", gc(xdtoa(asinh(INFINITY))));
}
TEST(asinhf, test) {
EXPECT_STREQ(".481212", gc(xdtoaf(asinhf(+.5))));
EXPECT_STREQ("-.481212", gc(xdtoaf(asinhf(-.5))));
EXPECT_STREQ("0", gc(xdtoaf(asinhf(0))));
EXPECT_STREQ("NAN", gc(xdtoaf(asinhf(NAN))));
EXPECT_STREQ("INFINITY", gc(xdtoaf(asinhf(INFINITY))));
}
TEST(asinhl, test) {
EXPECT_STREQ(".4812118250596034", gc(xdtoal(asinhl(+.5))));
EXPECT_STREQ("-.4812118250596034", gc(xdtoal(asinhl(-.5))));
EXPECT_STREQ("0", gc(xdtoal(asinhl(0))));
EXPECT_STREQ("NAN", gc(xdtoal(asinhl(NAN))));
EXPECT_STREQ("INFINITY", gc(xdtoal(asinhl(INFINITY))));
}

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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
#include "libc/runtime/gc.h"
#include "libc/testlib/testlib.h"
#include "libc/x/x.h"
#define atanhl(x) atanhl(VEIL("t", (long double)(x)))
#define atanh(x) atanh(VEIL("x", (double)(x)))
#define atanhf(x) atanhf(VEIL("x", (float)(x)))
TEST(atanh, test) {
EXPECT_STREQ("0", gc(xdtoa(atanh(0))));
EXPECT_STREQ(".549306144334055", gc(xdtoa(atanh(.5))));
EXPECT_STREQ("-.549306144334055", gc(xdtoa(atanh(-.5))));
EXPECT_STREQ("INFINITY", gc(xdtoa(atanh(+1))));
EXPECT_STREQ("-INFINITY", gc(xdtoa(atanh(-1))));
EXPECT_TRUE(isnan(atanh(+1.1)));
EXPECT_TRUE(isnan(atanh(-1.1)));
}
TEST(atanhl, test) {
EXPECT_STREQ("0", gc(xdtoal(atanhl(0))));
EXPECT_STREQ(".5493061443340548", gc(xdtoal(atanhl(.5))));
EXPECT_STREQ("-.5493061443340548", gc(xdtoal(atanhl(-.5))));
EXPECT_STREQ("INFINITY", gc(xdtoal(atanhl(+1))));
EXPECT_STREQ("-INFINITY", gc(xdtoal(atanhl(-1))));
EXPECT_TRUE(isnan(atanhl(+1.1)));
EXPECT_TRUE(isnan(atanhl(-1.1)));
}
TEST(atanhf, test) {
EXPECT_STREQ("0", gc(xdtoaf(atanhf(0))));
EXPECT_STREQ(".549306", gc(xdtoaf(atanhf(.5))));
EXPECT_STREQ("-.549306", gc(xdtoaf(atanhf(-.5))));
EXPECT_STREQ("INFINITY", gc(xdtoaf(atanhf(+1))));
EXPECT_STREQ("-INFINITY", gc(xdtoaf(atanhf(-1))));
EXPECT_TRUE(isnan(atanhf(+1.1)));
EXPECT_TRUE(isnan(atanhf(-1.1)));
}

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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
#include "libc/runtime/gc.h"
#include "libc/testlib/testlib.h"
#include "libc/x/x.h"
#define coshl(x) coshl(VEIL("t", (long double)(x)))
#define cosh(x) cosh(VEIL("x", (double)(x)))
#define coshf(x) coshf(VEIL("x", (float)(x)))
TEST(coshl, test) {
EXPECT_STREQ("1.127625965206381", gc(xdtoal(coshl(+.5))));
EXPECT_STREQ("1.127625965206381", gc(xdtoal(coshl(-.5))));
EXPECT_STREQ("INFINITY", gc(xdtoal(coshl(30000))));
EXPECT_STREQ("INFINITY", gc(xdtoal(coshl(-30000))));
EXPECT_STREQ("1", gc(xdtoal(coshl(+0.))));
EXPECT_STREQ("1", gc(xdtoal(coshl(-0.))));
EXPECT_TRUE(isnan(coshl(NAN)));
EXPECT_STREQ("INFINITY", gc(xdtoal(coshl(INFINITY))));
EXPECT_STREQ("INFINITY", gc(xdtoal(coshl(-INFINITY))));
}
TEST(cosh, test) {
EXPECT_STREQ("1.12762596520638", gc(xdtoa(cosh(+.5))));
EXPECT_STREQ("1.12762596520638", gc(xdtoa(cosh(-.5))));
EXPECT_STREQ("INFINITY", gc(xdtoa(cosh(30000))));
EXPECT_STREQ("INFINITY", gc(xdtoa(cosh(-30000))));
EXPECT_STREQ("1", gc(xdtoa(cosh(+0.))));
EXPECT_STREQ("1", gc(xdtoa(cosh(-0.))));
EXPECT_TRUE(isnan(cosh(NAN)));
EXPECT_STREQ("INFINITY", gc(xdtoa(cosh(INFINITY))));
EXPECT_STREQ("INFINITY", gc(xdtoa(cosh(-INFINITY))));
}
TEST(coshf, test) {
EXPECT_STREQ("1.12763", gc(xdtoaf(coshf(+.5))));
EXPECT_STREQ("1.12763", gc(xdtoaf(coshf(-.5))));
EXPECT_STREQ("INFINITY", gc(xdtoaf(coshf(30000))));
EXPECT_STREQ("INFINITY", gc(xdtoaf(coshf(-30000))));
EXPECT_STREQ("1", gc(xdtoaf(coshf(+0.))));
EXPECT_STREQ("1", gc(xdtoaf(coshf(-0.))));
EXPECT_TRUE(isnan(coshf(NAN)));
EXPECT_STREQ("INFINITY", gc(xdtoaf(coshf(INFINITY))));
EXPECT_STREQ("INFINITY", gc(xdtoaf(coshf(-INFINITY))));
}

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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
#include "libc/runtime/gc.h"
#include "libc/testlib/testlib.h"
#include "libc/x/x.h"
#define sinhl(x) sinhl(VEIL("t", (long double)(x)))
#define sinh(x) sinh(VEIL("x", (double)(x)))
#define sinhf(x) sinhf(VEIL("x", (float)(x)))
TEST(sinh, test) {
EXPECT_STREQ(".521095305493747", gc(xdtoa(sinh(+.5))));
EXPECT_STREQ("-.521095305493747", gc(xdtoa(sinh(-.5))));
EXPECT_STREQ("INFINITY", gc(xdtoa(sinh(30000))));
EXPECT_STREQ("-INFINITY", gc(xdtoa(sinh(-30000))));
EXPECT_STREQ("0", gc(xdtoa(sinh(0))));
EXPECT_STREQ("NAN", gc(xdtoa(sinh(NAN))));
EXPECT_STREQ("INFINITY", gc(xdtoa(sinh(INFINITY))));
EXPECT_STREQ("-INFINITY", gc(xdtoa(sinh(-INFINITY))));
}
TEST(sinhl, test) {
EXPECT_STREQ(".5210953054937474", gc(xdtoal(sinhl(+.5))));
EXPECT_STREQ("-.5210953054937474", gc(xdtoal(sinhl(-.5))));
EXPECT_STREQ("INFINITY", gc(xdtoal(sinhl(30000))));
EXPECT_STREQ("-INFINITY", gc(xdtoal(sinhl(-30000))));
EXPECT_STREQ("0", gc(xdtoal(sinhl(0))));
EXPECT_STREQ("NAN", gc(xdtoal(sinhl(NAN))));
EXPECT_STREQ("INFINITY", gc(xdtoal(sinhl(INFINITY))));
EXPECT_STREQ("-INFINITY", gc(xdtoal(sinhl(-INFINITY))));
}
TEST(sinhf, test) {
EXPECT_STREQ(".521095", gc(xdtoaf(sinhf(+.5))));
EXPECT_STREQ("-.521095", gc(xdtoaf(sinhf(-.5))));
EXPECT_STREQ("INFINITY", gc(xdtoaf(sinhf(30000))));
EXPECT_STREQ("-INFINITY", gc(xdtoaf(sinhf(-30000))));
EXPECT_STREQ("0", gc(xdtoaf(sinhf(0))));
EXPECT_STREQ("NAN", gc(xdtoaf(sinhf(NAN))));
EXPECT_STREQ("INFINITY", gc(xdtoaf(sinhf(INFINITY))));
EXPECT_STREQ("-INFINITY", gc(xdtoaf(sinhf(-INFINITY))));
}

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/*-*- mode:c;indent-tabs-mode:nil;c-basic-offset:2;tab-width:8;coding:utf-8 -*-│
vi: set net ft=c ts=2 sts=2 sw=2 fenc=utf-8 :vi
Copyright 2021 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/math.h"
#include "libc/runtime/gc.h"
#include "libc/testlib/testlib.h"
#include "libc/x/x.h"
#define tanhl(x) tanhl(VEIL("t", (long double)(x)))
#define tanh(x) tanh(VEIL("x", (double)(x)))
#define tanhf(x) tanhf(VEIL("x", (float)(x)))
TEST(tanhl, test) {
EXPECT_STREQ(".09966799462495582", gc(xdtoal(tanhl(+.1))));
EXPECT_STREQ("-.09966799462495582", gc(xdtoal(tanhl(-.1))));
EXPECT_STREQ("0", gc(xdtoal(tanhl(0))));
EXPECT_TRUE(isnan(tanhl(NAN)));
EXPECT_STREQ("1", gc(xdtoal(tanhl(INFINITY))));
EXPECT_STREQ("-1", gc(xdtoal(tanhl(-INFINITY))));
}
TEST(tanh, test) {
EXPECT_STREQ(".0996679946249559", gc(xdtoa(tanh(+.1))));
EXPECT_STREQ("-.0996679946249559", gc(xdtoa(tanh(-.1))));
EXPECT_STREQ("0", gc(xdtoa(tanh(0))));
EXPECT_TRUE(isnan(tanh(NAN)));
EXPECT_STREQ("1", gc(xdtoa(tanh(INFINITY))));
EXPECT_STREQ("-1", gc(xdtoa(tanh(-INFINITY))));
}
TEST(tanhf, test) {
EXPECT_STREQ(".099668", gc(xdtoaf(tanhf(+.1))));
EXPECT_STREQ("-.099668", gc(xdtoaf(tanhf(-.1))));
EXPECT_STREQ("0", gc(xdtoaf(tanhf(0))));
EXPECT_TRUE(isnan(tanhf(NAN)));
EXPECT_STREQ("1", gc(xdtoaf(tanhf(INFINITY))));
EXPECT_STREQ("-1", gc(xdtoaf(tanhf(-INFINITY))));
}